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Finding the Third Proportional to 797,860.13 and 1,197,610.31

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Solution

The third proportional to 797,860.13 and 1,197,610.31 is: 1,797,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,860.13 : 1,197,610.31 = 1,197,610.31 : x
  2. Step 2: Convert to fraction form
    797,860.13/1,197,610.31 = 1,197,610.31/x
  3. Step 3: Cross multiply
    797,860.13x = 1,197,610.31 × 1,197,610.31
  4. Step 4: Simplify right side
    797,860.13x = 1,434,270,460,606.35
  5. Step 5: Solve for x
    x = 1,434,270,460,606.35/797,860.13
  6. Step 6: Final answer
    x = 1,797,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.